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Finding the Fourth Proportional to 251.60, 347.02 and 148.10

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Solution

The fourth proportional to 251.60, 347.02 and 148.10 is: 204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.60 : 347.02 = 148.10 : x
  2. Step 2: Convert to fraction form
    251.60/347.02 = 148.10/x
  3. Step 3: Cross multiply
    251.60x = 347.02 × 148.10
  4. Step 4: Simplify right side
    251.60x = 51,393.66
  5. Step 5: Solve for x
    x = 51,393.66/251.60
  6. Step 6: Final answer
    x = 204.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.